Prime p₀= 1137869611888653401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1137867453699581741	0 2 6 8 66 68 78 80 90 92 138 140 180 182	-2158189071660
SPT(16)	1137867589039469957	0 44 60 102 144 210 224 264 272 312 326 392 434 476 492 536	-2022849183444
SPT(16)	1137867619153938623	0 26 38 48 54 104 108 200 264 356 360 410 416 426 438 464	-1992734714778
STPT(10)	1137867864840036227	0 2 30 32 102 104 174 176 204 206	-1747048617174
STPT(10)	1137868369150398209	0 2 42 44 60 62 78 80 120 122	-1242738255192
SPT(16)	1137869202283099579	0 10 30 54 100 108 144 174 178 208 244 252 298 322 342 352	-409605553822
STPT(10)	1137869906582302037	0 2 42 44 72 74 102 104 144 146	294693648636
STPT(10)	1137870167162758877	0 2 12 14 42 44 72 74 84 86	555274105476
SPT(16)	1137870291674971469	0 2 18 42 54 84 164 200 222 258 338 368 380 404 420 422	679786318068
STPT(10)	1137870313851002057	0 2 30 32 42 44 54 56 84 86	701962348656
STPT(10)	1137870627924944699	0 2 42 44 60 62 78 80 120 122	1016036291298